Math  /  Algebra

Question5. 54=135x54=135-x
6. z7=19z-7=-19
7.  Exit ficket z9=15\begin{array}{l}\text { Exit ficket } \\ z-9=-15\end{array}
8. 52=12b52=12-b
9. 67=c(4)-67=c-(-4)
10. x7=87x-7=87

Studdy Solution
Check the solution by substituting x=81 x = 81 back into the original equation:
54=13581 54 = 135 - 81
Simplify the right side:
54=54 54 = 54
The solution is correct.
**Problem 6: z7=19 z - 7 = -19 **
STEP_1: Add 7 to both sides to isolate z z :
z=19+7 z = -19 + 7
STEP_2: Simplify the right side:
z=12 z = -12
STEP_3: Check the solution by substituting z=12 z = -12 back into the original equation:
127=19 -12 - 7 = -19
Simplify the left side:
19=19 -19 = -19
The solution is correct.
**Problem 7: z9=15 z - 9 = -15 **
STEP_1: Add 9 to both sides to isolate z z :
z=15+9 z = -15 + 9
STEP_2: Simplify the right side:
z=6 z = -6
STEP_3: Check the solution by substituting z=6 z = -6 back into the original equation:
69=15 -6 - 9 = -15
Simplify the left side:
15=15 -15 = -15
The solution is correct.
**Problem 8: 52=12b 52 = 12 - b **
STEP_1: Subtract 12 from both sides to isolate b-b:
5212=b 52 - 12 = -b
STEP_2: Simplify the left side:
40=b 40 = -b
STEP_3: Multiply both sides by 1-1 to solve for b b :
b=40 b = -40
STEP_4: Check the solution by substituting b=40 b = -40 back into the original equation:
52=12(40) 52 = 12 - (-40)
Simplify the right side:
52=52 52 = 52
The solution is correct.
**Problem 9: 67=c(4) -67 = c - (-4) **
STEP_1: Simplify the right side by changing the subtraction of a negative to addition:
67=c+4 -67 = c + 4
STEP_2: Subtract 4 from both sides to isolate c c :
674=c -67 - 4 = c
STEP_3: Simplify the left side:
71=c -71 = c
STEP_4: Check the solution by substituting c=71 c = -71 back into the original equation:
67=71(4) -67 = -71 - (-4)
Simplify the right side:
67=67 -67 = -67
The solution is correct.
**Problem 10: x7=87 x - 7 = 87 **
STEP_1: Add 7 to both sides to isolate x x :
x=87+7 x = 87 + 7
STEP_2: Simplify the right side:
x=94 x = 94
STEP_3: Check the solution by substituting x=94 x = 94 back into the original equation:
947=87 94 - 7 = 87
Simplify the left side:
87=87 87 = 87
The solution is correct.

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